Learn R Programming

bayesm (version 3.0-2)

llmnl: Evaluate Log Likelihood for Multinomial Logit Model

Description

llmnl evaluates log-likelihood for the multinomial logit model.

Usage

llmnl(beta,y, X)

Arguments

beta

k x 1 coefficient vector

y

n x 1 vector of obs on y (1,…, p)

X

n*p x k Design matrix (use createX to make)

Value

value of log-likelihood (sum of log prob of observed multinomial outcomes).

Warning

This routine is a utility routine that does not check the input arguments for proper dimensions and type.

Details

Let \(\mu_i=X_i beta\), then \(Pr(y_i=j) = exp(\mu_{i,j})/\sum_kexp(\mu_{i,k})\). \(X_i\) is the submatrix of X corresponding to the ith observation. X has n*p rows.

Use createX to create X.

References

For further discussion, see Bayesian Statistics and Marketing by Rossi, Allenby and McCulloch. http://www.perossi.org/home/bsm-1

See Also

createX, rmnlIndepMetrop

Examples

Run this code
##
ll=llmnl(beta,y,X)

Run the code above in your browser using DataLab